Of a group of 30 cats, 24 eat tinned or dry food, 10 like dry food and 5 like both tinned and dry food. find the probability that a randomly selected cat likes only tinned food.

Given: 30 cats, 24 for tinned or dry food, 10 for only dry food, 5 for both tinned and dry food.

Cats that like only tinned food: 24 - 10 = 14

Probability that a randomly selected cat likes only tinned food:

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step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116